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Finding the Third Proportional to 267,236 and 556,585

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Solution

The third proportional to 267,236 and 556,585 is: 1,159,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,236 : 556,585 = 556,585 : x
  2. Step 2: Convert to fraction form
    267,236/556,585 = 556,585/x
  3. Step 3: Cross multiply
    267,236x = 556,585 × 556,585
  4. Step 4: Simplify right side
    267,236x = 309,786,862,225
  5. Step 5: Solve for x
    x = 309,786,862,225/267,236
  6. Step 6: Final answer
    x = 1,159,225.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.